i need help with simplying algerbraic expression

Question

1) m^2 p^2 + mpg - 6g^2 =

2) 2h^3 + 2h^2t - 4ht^2

Answer 1

1. m^2p^2 + mpg - 6g^2
(mp + 3g) (mp - 2g).

2. 2h^3 + 2h^2t - 4ht^2
Factor using A*C Method:
A * C =2 * -4 = -8
2h^3 - 2h^2t+4h^2t - 4ht^2=
Group the 4 terms in factorable pairs
and factor:
(2h^3 - 2h^2t) + (4h^2t - 4ht^2),
2h^2(h - t) + 4ht(h - t),
Factor out (h - t):
(h - t) (2h^2 +4ht),
Factor the binomial:
(h - t) (2h) (h + 2t).

Answer 2

what property is described by this equation? 24×5=(20×5)+(4×5)